Answered

The sum of David's weight and Mike's weight is 180 pounds. If you subtract David's weight from Mike's weight, you get half of Mike's weight. How much does Mike weigh?

Answer :

Answer: 120 Pounds

Step-by-step explanation:

Given

The Sum of David and mike weight is 180 pounds

Suppose the weight of David is x and the weight of mike is y

So, [tex]x+y=180[/tex]

Also, subtracting David's weight from Mike's weight, we get half of Mike's weight

[tex]\Rightarrow y-x=\dfrac{y}{2}\\\Rightarrow 2x=y[/tex]

Put the value of x in the above equation, we get

[tex]\Rightarrow 1.5y=180\\\Rightarrow y=120\ pounds[/tex]

Thus, mike Weighs 120 Pounds

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